integrate:$\displaystyle \frac{x^2}{\sqrt{4-9x^2}}$

i worked it down to this, first off is this right so far. And how would i simplify this so that its integrable. also how do you do the integrate sign in latex? thx guys.

integrate:$\displaystyle \frac{x^2}{\sqrt{4-9x^2}}$ = integrate:$\displaystyle \frac{\frac{2}{3}(cost)^2}{2sint} * (-\frac{2}{3} sint) dt$